Results 41 to 50 of about 10,247 (97)

Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions

open access: yesEntropy
The Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
doaj   +1 more source

Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables

open access: yesMathematics, 2019
The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized ...
Kottakkaran Sooppy Nisar
doaj   +1 more source

Alternative ways to initiate students’ intuition, and hence internalization, of why zero factorial is equal to one

open access: yesJournal on Mathematics Education
Zero factorial, defined to be one, is often counterintuitive to students but nonetheless an interesting concept to convey in a classroom environment.
Munir Mahmood   +3 more
doaj   +1 more source

A result regarding monotonicity of the Gamma function

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
In this paper we analyze the monotony of the function ln Γ(x)ln (x2+τ)-ln (x+τ)${{{\rm{ln}}\,\Gamma ({\rm{x}})} \over {{\rm{ln}}\,({\rm{x}}^2 + \tau) - {\rm{ln}}\,({\rm{x}} + \tau)}}$ , for τ > 0.
Kupán Pál A.   +2 more
doaj   +1 more source

Sharp Estimates of Pochhammer’s Products

open access: yesMathematics
Sharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the Γ function.
Vito Lampret
doaj   +1 more source

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